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21141124452 = 223271723214561
BaseRepresentation
bin10011101100000110…
…111111010101100100
32000120100202101201100
4103230012333111210
5321244111440302
613413451400100
71345616410230
oct235406772544
960510671640
1021141124452
118a69682788
124120153030
131cbbc26bc6
141047a8b5c0
1583b026d1c
hex4ec1bf564

21141124452 has 144 divisors (see below), whose sum is σ = 67478890752. Its totient is φ = 5437808640.

The previous prime is 21141124423. The next prime is 21141124483. The reversal of 21141124452 is 25442114112.

21141124452 is a `hidden beast` number, since 2 + 1 + 1 + 411 + 244 + 5 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8749 + ... + 205812.

It is an arithmetic number, because the mean of its divisors is an integer number (468603408).

Almost surely, 221141124452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21141124452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33739445376).

21141124452 is an abundant number, since it is smaller than the sum of its proper divisors (46337766300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21141124452 is a wasteful number, since it uses less digits than its factorization.

21141124452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214618 (or 214613 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 21141124452 its reverse (25442114112), we get a palindrome (46583238564).

The spelling of 21141124452 in words is "twenty-one billion, one hundred forty-one million, one hundred twenty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 119 126 138 153 161 204 207 238 252 276 306 322 357 391 414 476 483 612 644 714 782 828 966 1071 1173 1428 1449 1564 1932 2142 2346 2737 2898 3519 4284 4692 5474 5796 7038 8211 10948 14076 16422 24633 32844 49266 98532 214561 429122 643683 858244 1287366 1501927 1931049 2574732 3003854 3647537 3862098 4505781 4934903 6007708 7295074 7724196 9011562 9869806 10942611 13517343 14590148 14804709 18023124 19739612 21885222 25532759 27034686 29609418 32827833 34544321 43770444 44414127 51065518 54069372 59218836 65655666 69088642 76598277 83893351 88828254 102131036 103632963 131311332 138177284 153196554 167786702 177656508 207265926 229794831 251680053 306393108 310898889 335573404 414531852 459589662 503360106 587253457 621797778 755040159 919179324 1006720212 1174506914 1243595556 1510080318 1761760371 2349013828 3020160636 3523520742 5285281113 7047041484 10570562226 21141124452